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Finding the Fourth Proportional to 162.96, 242.95 and 144.60

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Solution

The fourth proportional to 162.96, 242.95 and 144.60 is: 215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 242.95 = 144.60 : x
  2. Step 2: Convert to fraction form
    162.96/242.95 = 144.60/x
  3. Step 3: Cross multiply
    162.96x = 242.95 × 144.60
  4. Step 4: Simplify right side
    162.96x = 35,129.85
  5. Step 5: Solve for x
    x = 35,129.85/162.96
  6. Step 6: Final answer
    x = 215.57

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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.