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Finding the Fourth Proportional to 366.58, 547.19 and 342.28

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Solution

The fourth proportional to 366.58, 547.19 and 342.28 is: 510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.58 : 547.19 = 342.28 : x
  2. Step 2: Convert to fraction form
    366.58/547.19 = 342.28/x
  3. Step 3: Cross multiply
    366.58x = 547.19 × 342.28
  4. Step 4: Simplify right side
    366.58x = 187,292.19
  5. Step 5: Solve for x
    x = 187,292.19/366.58
  6. Step 6: Final answer
    x = 510.92

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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.