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Finding the Fourth Proportional to 375.32, 560.40 and 306.06

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Solution

The fourth proportional to 375.32, 560.40 and 306.06 is: 456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.32 : 560.40 = 306.06 : x
  2. Step 2: Convert to fraction form
    375.32/560.40 = 306.06/x
  3. Step 3: Cross multiply
    375.32x = 560.40 × 306.06
  4. Step 4: Simplify right side
    375.32x = 171,516.02
  5. Step 5: Solve for x
    x = 171,516.02/375.32
  6. Step 6: Final answer
    x = 456.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.