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Finding the Fourth Proportional to 560.98, 841.56 and 214.42

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Solution

The fourth proportional to 560.98, 841.56 and 214.42 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.98 : 841.56 = 214.42 : x
  2. Step 2: Convert to fraction form
    560.98/841.56 = 214.42/x
  3. Step 3: Cross multiply
    560.98x = 841.56 × 214.42
  4. Step 4: Simplify right side
    560.98x = 180,447.30
  5. Step 5: Solve for x
    x = 180,447.30/560.98
  6. Step 6: Final answer
    x = 321.66

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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.