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Finding the Fourth Proportional to 477.64, 715.92 and 203.50

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Solution

The fourth proportional to 477.64, 715.92 and 203.50 is: 305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.64 : 715.92 = 203.50 : x
  2. Step 2: Convert to fraction form
    477.64/715.92 = 203.50/x
  3. Step 3: Cross multiply
    477.64x = 715.92 × 203.50
  4. Step 4: Simplify right side
    477.64x = 145,689.72
  5. Step 5: Solve for x
    x = 145,689.72/477.64
  6. Step 6: Final answer
    x = 305.02

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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.