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Finding the Fourth Proportional to 162.45, 242.64 and 147.33

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Solution

The fourth proportional to 162.45, 242.64 and 147.33 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.45 : 242.64 = 147.33 : x
  2. Step 2: Convert to fraction form
    162.45/242.64 = 147.33/x
  3. Step 3: Cross multiply
    162.45x = 242.64 × 147.33
  4. Step 4: Simplify right side
    162.45x = 35,748.15
  5. Step 5: Solve for x
    x = 35,748.15/162.45
  6. Step 6: Final answer
    x = 220.06

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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.