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Finding the Fourth Proportional to 242.46, 362.30 and 164.77

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Solution

The fourth proportional to 242.46, 362.30 and 164.77 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.46 : 362.30 = 164.77 : x
  2. Step 2: Convert to fraction form
    242.46/362.30 = 164.77/x
  3. Step 3: Cross multiply
    242.46x = 362.30 × 164.77
  4. Step 4: Simplify right side
    242.46x = 59,696.17
  5. Step 5: Solve for x
    x = 59,696.17/242.46
  6. Step 6: Final answer
    x = 246.21

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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.