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Finding the Fourth Proportional to 375.72, 562.88 and 260.24

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Solution

The fourth proportional to 375.72, 562.88 and 260.24 is: 389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 562.88 = 260.24 : x
  2. Step 2: Convert to fraction form
    375.72/562.88 = 260.24/x
  3. Step 3: Cross multiply
    375.72x = 562.88 × 260.24
  4. Step 4: Simplify right side
    375.72x = 146,483.89
  5. Step 5: Solve for x
    x = 146,483.89/375.72
  6. Step 6: Final answer
    x = 389.88

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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.