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Finding the Fourth Proportional to 155.62, 215.76 and 146.31

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Solution

The fourth proportional to 155.62, 215.76 and 146.31 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.62 : 215.76 = 146.31 : x
  2. Step 2: Convert to fraction form
    155.62/215.76 = 146.31/x
  3. Step 3: Cross multiply
    155.62x = 215.76 × 146.31
  4. Step 4: Simplify right side
    155.62x = 31,567.59
  5. Step 5: Solve for x
    x = 31,567.59/155.62
  6. Step 6: Final answer
    x = 202.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.