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Finding the Fourth Proportional to 560.86, 841.38 and 214.28

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Solution

The fourth proportional to 560.86, 841.38 and 214.28 is: 321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 841.38 = 214.28 : x
  2. Step 2: Convert to fraction form
    560.86/841.38 = 214.28/x
  3. Step 3: Cross multiply
    560.86x = 841.38 × 214.28
  4. Step 4: Simplify right side
    560.86x = 180,290.91
  5. Step 5: Solve for x
    x = 180,290.91/560.86
  6. Step 6: Final answer
    x = 321.45

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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.