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Finding the Fourth Proportional to 476.95, 715.43 and 202.87

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Solution

The fourth proportional to 476.95, 715.43 and 202.87 is: 304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.95 : 715.43 = 202.87 : x
  2. Step 2: Convert to fraction form
    476.95/715.43 = 202.87/x
  3. Step 3: Cross multiply
    476.95x = 715.43 × 202.87
  4. Step 4: Simplify right side
    476.95x = 145,139.28
  5. Step 5: Solve for x
    x = 145,139.28/476.95
  6. Step 6: Final answer
    x = 304.31

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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.