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Finding the Fourth Proportional to 362.54, 543.58 and 146.14

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Solution

The fourth proportional to 362.54, 543.58 and 146.14 is: 219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.54 : 543.58 = 146.14 : x
  2. Step 2: Convert to fraction form
    362.54/543.58 = 146.14/x
  3. Step 3: Cross multiply
    362.54x = 543.58 × 146.14
  4. Step 4: Simplify right side
    362.54x = 79,437.06
  5. Step 5: Solve for x
    x = 79,437.06/362.54
  6. Step 6: Final answer
    x = 219.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.