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Finding the Fourth Proportional to 560.87, 841.12 and 214.19

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Solution

The fourth proportional to 560.87, 841.12 and 214.19 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.87 : 841.12 = 214.19 : x
  2. Step 2: Convert to fraction form
    560.87/841.12 = 214.19/x
  3. Step 3: Cross multiply
    560.87x = 841.12 × 214.19
  4. Step 4: Simplify right side
    560.87x = 180,159.49
  5. Step 5: Solve for x
    x = 180,159.49/560.87
  6. Step 6: Final answer
    x = 321.21

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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.