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Finding the Fourth Proportional to 403.32, 557 and 309.04

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Solution

The fourth proportional to 403.32, 557 and 309.04 is: 426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.32 : 557 = 309.04 : x
  2. Step 2: Convert to fraction form
    403.32/557 = 309.04/x
  3. Step 3: Cross multiply
    403.32x = 557 × 309.04
  4. Step 4: Simplify right side
    403.32x = 172,135.28
  5. Step 5: Solve for x
    x = 172,135.28/403.32
  6. Step 6: Final answer
    x = 426.80

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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.