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Finding the Fourth Proportional to 477.24, 715.32 and 203.46

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Solution

The fourth proportional to 477.24, 715.32 and 203.46 is: 304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 715.32 = 203.46 : x
  2. Step 2: Convert to fraction form
    477.24/715.32 = 203.46/x
  3. Step 3: Cross multiply
    477.24x = 715.32 × 203.46
  4. Step 4: Simplify right side
    477.24x = 145,539.01
  5. Step 5: Solve for x
    x = 145,539.01/477.24
  6. Step 6: Final answer
    x = 304.96

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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.