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Finding the Fourth Proportional to 580.22, 870.33 and 147.38

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Solution

The fourth proportional to 580.22, 870.33 and 147.38 is: 221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.22 : 870.33 = 147.38 : x
  2. Step 2: Convert to fraction form
    580.22/870.33 = 147.38/x
  3. Step 3: Cross multiply
    580.22x = 870.33 × 147.38
  4. Step 4: Simplify right side
    580.22x = 128,269.24
  5. Step 5: Solve for x
    x = 128,269.24/580.22
  6. Step 6: Final answer
    x = 221.07

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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.