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Finding the Fourth Proportional to 560.54, 839.72 and 272.18

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Solution

The fourth proportional to 560.54, 839.72 and 272.18 is: 407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.54 : 839.72 = 272.18 : x
  2. Step 2: Convert to fraction form
    560.54/839.72 = 272.18/x
  3. Step 3: Cross multiply
    560.54x = 839.72 × 272.18
  4. Step 4: Simplify right side
    560.54x = 228,551.47
  5. Step 5: Solve for x
    x = 228,551.47/560.54
  6. Step 6: Final answer
    x = 407.74

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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.