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Finding the Fourth Proportional to 560.21, 840.24 and 354.60

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Solution

The fourth proportional to 560.21, 840.24 and 354.60 is: 531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.21 : 840.24 = 354.60 : x
  2. Step 2: Convert to fraction form
    560.21/840.24 = 354.60/x
  3. Step 3: Cross multiply
    560.21x = 840.24 × 354.60
  4. Step 4: Simplify right side
    560.21x = 297,949.10
  5. Step 5: Solve for x
    x = 297,949.10/560.21
  6. Step 6: Final answer
    x = 531.85

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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.