Home / 549.30-823.86-306

Finding the Fourth Proportional to 549.30, 823.86 and 306

Calculator

Solution

The fourth proportional to 549.30, 823.86 and 306 is: 458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.30 : 823.86 = 306 : x
  2. Step 2: Convert to fraction form
    549.30/823.86 = 306/x
  3. Step 3: Cross multiply
    549.30x = 823.86 × 306
  4. Step 4: Simplify right side
    549.30x = 252,101.16
  5. Step 5: Solve for x
    x = 252,101.16/549.30
  6. Step 6: Final answer
    x = 458.95

Related Problems

Find fourth proportional to 274.65, 411.93 and 153
Half scale
Find fourth proportional to 1,098.60, 1,647.72 and 612
Double scale
Find fourth proportional to 550.30, 825.36 and 307
Similar ratio
Find fourth proportional to 823.95, 1,235.79 and 459
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.