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Finding the Fourth Proportional to 545.20, 752.38 and 312.32

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Solution

The fourth proportional to 545.20, 752.38 and 312.32 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.20 : 752.38 = 312.32 : x
  2. Step 2: Convert to fraction form
    545.20/752.38 = 312.32/x
  3. Step 3: Cross multiply
    545.20x = 752.38 × 312.32
  4. Step 4: Simplify right side
    545.20x = 234,983.32
  5. Step 5: Solve for x
    x = 234,983.32/545.20
  6. Step 6: Final answer
    x = 431.00

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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.