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Finding the Fourth Proportional to 560.51, 840.85 and 149.68

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Solution

The fourth proportional to 560.51, 840.85 and 149.68 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.51 : 840.85 = 149.68 : x
  2. Step 2: Convert to fraction form
    560.51/840.85 = 149.68/x
  3. Step 3: Cross multiply
    560.51x = 840.85 × 149.68
  4. Step 4: Simplify right side
    560.51x = 125,853.48
  5. Step 5: Solve for x
    x = 125,853.48/560.51
  6. Step 6: Final answer
    x = 224.54

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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.