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Finding the Fourth Proportional to 162.74, 242.69 and 153.16

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Solution

The fourth proportional to 162.74, 242.69 and 153.16 is: 228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.74 : 242.69 = 153.16 : x
  2. Step 2: Convert to fraction form
    162.74/242.69 = 153.16/x
  3. Step 3: Cross multiply
    162.74x = 242.69 × 153.16
  4. Step 4: Simplify right side
    162.74x = 37,169.03
  5. Step 5: Solve for x
    x = 37,169.03/162.74
  6. Step 6: Final answer
    x = 228.39

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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.