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Finding the Fourth Proportional to 473.18, 710.64 and 290.90

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Solution

The fourth proportional to 473.18, 710.64 and 290.90 is: 436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.18 : 710.64 = 290.90 : x
  2. Step 2: Convert to fraction form
    473.18/710.64 = 290.90/x
  3. Step 3: Cross multiply
    473.18x = 710.64 × 290.90
  4. Step 4: Simplify right side
    473.18x = 206,725.18
  5. Step 5: Solve for x
    x = 206,725.18/473.18
  6. Step 6: Final answer
    x = 436.88

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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.