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Finding the Fourth Proportional to 162.63, 242.84 and 152.64

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Solution

The fourth proportional to 162.63, 242.84 and 152.64 is: 227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.63 : 242.84 = 152.64 : x
  2. Step 2: Convert to fraction form
    162.63/242.84 = 152.64/x
  3. Step 3: Cross multiply
    162.63x = 242.84 × 152.64
  4. Step 4: Simplify right side
    162.63x = 37,067.48
  5. Step 5: Solve for x
    x = 37,067.48/162.63
  6. Step 6: Final answer
    x = 227.93

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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.