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Finding the Fourth Proportional to 647.88, 972.08 and 237.20

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Solution

The fourth proportional to 647.88, 972.08 and 237.20 is: 355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.88 : 972.08 = 237.20 : x
  2. Step 2: Convert to fraction form
    647.88/972.08 = 237.20/x
  3. Step 3: Cross multiply
    647.88x = 972.08 × 237.20
  4. Step 4: Simplify right side
    647.88x = 230,577.38
  5. Step 5: Solve for x
    x = 230,577.38/647.88
  6. Step 6: Final answer
    x = 355.90

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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.