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Finding the Fourth Proportional to 546.24, 753.49 and 380.16

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Solution

The fourth proportional to 546.24, 753.49 and 380.16 is: 524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 753.49 = 380.16 : x
  2. Step 2: Convert to fraction form
    546.24/753.49 = 380.16/x
  3. Step 3: Cross multiply
    546.24x = 753.49 × 380.16
  4. Step 4: Simplify right side
    546.24x = 286,448.29
  5. Step 5: Solve for x
    x = 286,448.29/546.24
  6. Step 6: Final answer
    x = 524.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.