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Finding the Fourth Proportional to 162.60, 242.71 and 141.07

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Solution

The fourth proportional to 162.60, 242.71 and 141.07 is: 210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.60 : 242.71 = 141.07 : x
  2. Step 2: Convert to fraction form
    162.60/242.71 = 141.07/x
  3. Step 3: Cross multiply
    162.60x = 242.71 × 141.07
  4. Step 4: Simplify right side
    162.60x = 34,239.10
  5. Step 5: Solve for x
    x = 34,239.10/162.60
  6. Step 6: Final answer
    x = 210.57

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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.