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Finding the Fourth Proportional to 156.57, 233.16 and 147.25

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Solution

The fourth proportional to 156.57, 233.16 and 147.25 is: 219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.57 : 233.16 = 147.25 : x
  2. Step 2: Convert to fraction form
    156.57/233.16 = 147.25/x
  3. Step 3: Cross multiply
    156.57x = 233.16 × 147.25
  4. Step 4: Simplify right side
    156.57x = 34,332.81
  5. Step 5: Solve for x
    x = 34,332.81/156.57
  6. Step 6: Final answer
    x = 219.28

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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.