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Finding the Fourth Proportional to 560.30, 840.14 and 344.02

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Solution

The fourth proportional to 560.30, 840.14 and 344.02 is: 515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.30 : 840.14 = 344.02 : x
  2. Step 2: Convert to fraction form
    560.30/840.14 = 344.02/x
  3. Step 3: Cross multiply
    560.30x = 840.14 × 344.02
  4. Step 4: Simplify right side
    560.30x = 289,024.96
  5. Step 5: Solve for x
    x = 289,024.96/560.30
  6. Step 6: Final answer
    x = 515.84

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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.