Home / 296.78-409.55-164

Finding the Fourth Proportional to 296.78, 409.55 and 164

Calculator

Solution

The fourth proportional to 296.78, 409.55 and 164 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 409.55 = 164 : x
  2. Step 2: Convert to fraction form
    296.78/409.55 = 164/x
  3. Step 3: Cross multiply
    296.78x = 409.55 × 164
  4. Step 4: Simplify right side
    296.78x = 67,166.20
  5. Step 5: Solve for x
    x = 67,166.20/296.78
  6. Step 6: Final answer
    x = 226.32

Related Problems

Find fourth proportional to 148.39, 204.78 and 82
Half scale
Find fourth proportional to 593.55, 819.10 and 328
Double scale
Find fourth proportional to 297.78, 410.93 and 165
Similar ratio
Find fourth proportional to 445.16, 614.33 and 246
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.