Home / 384.61-577.14-202

Finding the Fourth Proportional to 384.61, 577.14 and 202

Calculator

Solution

The fourth proportional to 384.61, 577.14 and 202 is: 303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.61 : 577.14 = 202 : x
  2. Step 2: Convert to fraction form
    384.61/577.14 = 202/x
  3. Step 3: Cross multiply
    384.61x = 577.14 × 202
  4. Step 4: Simplify right side
    384.61x = 116,582.28
  5. Step 5: Solve for x
    x = 116,582.28/384.61
  6. Step 6: Final answer
    x = 303.12

Related Problems

Find fourth proportional to 192.31, 288.57 and 101
Half scale
Find fourth proportional to 769.22, 1,154.28 and 404
Double scale
Find fourth proportional to 385.61, 578.64 and 203
Similar ratio
Find fourth proportional to 576.92, 865.71 and 303
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.