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Finding the Fourth Proportional to 147.35, 219.45 and 145.60

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Solution

The fourth proportional to 147.35, 219.45 and 145.60 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.35 : 219.45 = 145.60 : x
  2. Step 2: Convert to fraction form
    147.35/219.45 = 145.60/x
  3. Step 3: Cross multiply
    147.35x = 219.45 × 145.60
  4. Step 4: Simplify right side
    147.35x = 31,951.92
  5. Step 5: Solve for x
    x = 31,951.92/147.35
  6. Step 6: Final answer
    x = 216.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.