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Finding the Fourth Proportional to 373.63, 560.47 and 99.72

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Solution

The fourth proportional to 373.63, 560.47 and 99.72 is: 149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.63 : 560.47 = 99.72 : x
  2. Step 2: Convert to fraction form
    373.63/560.47 = 99.72/x
  3. Step 3: Cross multiply
    373.63x = 560.47 × 99.72
  4. Step 4: Simplify right side
    373.63x = 55,890.07
  5. Step 5: Solve for x
    x = 55,890.07/373.63
  6. Step 6: Final answer
    x = 149.59

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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.