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Finding the Fourth Proportional to 560.75, 841.17 and 218.75

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Solution

The fourth proportional to 560.75, 841.17 and 218.75 is: 328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.75 : 841.17 = 218.75 : x
  2. Step 2: Convert to fraction form
    560.75/841.17 = 218.75/x
  3. Step 3: Cross multiply
    560.75x = 841.17 × 218.75
  4. Step 4: Simplify right side
    560.75x = 184,005.94
  5. Step 5: Solve for x
    x = 184,005.94/560.75
  6. Step 6: Final answer
    x = 328.14

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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.