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Finding the Fourth Proportional to 560.97, 842.00 and 253.17

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Solution

The fourth proportional to 560.97, 842.00 and 253.17 is: 380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.97 : 842.00 = 253.17 : x
  2. Step 2: Convert to fraction form
    560.97/842.00 = 253.17/x
  3. Step 3: Cross multiply
    560.97x = 842.00 × 253.17
  4. Step 4: Simplify right side
    560.97x = 213,167.87
  5. Step 5: Solve for x
    x = 213,167.87/560.97
  6. Step 6: Final answer
    x = 380.00

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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.