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Finding the Fourth Proportional to 275.55, 412.80 and 153.90

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Solution

The fourth proportional to 275.55, 412.80 and 153.90 is: 230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.55 : 412.80 = 153.90 : x
  2. Step 2: Convert to fraction form
    275.55/412.80 = 153.90/x
  3. Step 3: Cross multiply
    275.55x = 412.80 × 153.90
  4. Step 4: Simplify right side
    275.55x = 63,529.34
  5. Step 5: Solve for x
    x = 63,529.34/275.55
  6. Step 6: Final answer
    x = 230.55

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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.