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Finding the Fourth Proportional to 184.90, 275.78 and 155.65

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Solution

The fourth proportional to 184.90, 275.78 and 155.65 is: 232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 275.78 = 155.65 : x
  2. Step 2: Convert to fraction form
    184.90/275.78 = 155.65/x
  3. Step 3: Cross multiply
    184.90x = 275.78 × 155.65
  4. Step 4: Simplify right side
    184.90x = 42,925.16
  5. Step 5: Solve for x
    x = 42,925.16/184.90
  6. Step 6: Final answer
    x = 232.15

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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.