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Finding the Fourth Proportional to 560.33, 840.97 and 235.92

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Solution

The fourth proportional to 560.33, 840.97 and 235.92 is: 354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.33 : 840.97 = 235.92 : x
  2. Step 2: Convert to fraction form
    560.33/840.97 = 235.92/x
  3. Step 3: Cross multiply
    560.33x = 840.97 × 235.92
  4. Step 4: Simplify right side
    560.33x = 198,401.64
  5. Step 5: Solve for x
    x = 198,401.64/560.33
  6. Step 6: Final answer
    x = 354.08

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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.