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Finding the Fourth Proportional to 162.78, 245.52 and 145.16

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Solution

The fourth proportional to 162.78, 245.52 and 145.16 is: 218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 245.52 = 145.16 : x
  2. Step 2: Convert to fraction form
    162.78/245.52 = 145.16/x
  3. Step 3: Cross multiply
    162.78x = 245.52 × 145.16
  4. Step 4: Simplify right side
    162.78x = 35,639.68
  5. Step 5: Solve for x
    x = 35,639.68/162.78
  6. Step 6: Final answer
    x = 218.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.