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Finding the Fourth Proportional to 372.65, 514.08 and 256.01

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Solution

The fourth proportional to 372.65, 514.08 and 256.01 is: 353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.65 : 514.08 = 256.01 : x
  2. Step 2: Convert to fraction form
    372.65/514.08 = 256.01/x
  3. Step 3: Cross multiply
    372.65x = 514.08 × 256.01
  4. Step 4: Simplify right side
    372.65x = 131,609.62
  5. Step 5: Solve for x
    x = 131,609.62/372.65
  6. Step 6: Final answer
    x = 353.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.