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Finding the Fourth Proportional to 369.12, 549.84 and 358.80

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Solution

The fourth proportional to 369.12, 549.84 and 358.80 is: 534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.12 : 549.84 = 358.80 : x
  2. Step 2: Convert to fraction form
    369.12/549.84 = 358.80/x
  3. Step 3: Cross multiply
    369.12x = 549.84 × 358.80
  4. Step 4: Simplify right side
    369.12x = 197,282.59
  5. Step 5: Solve for x
    x = 197,282.59/369.12
  6. Step 6: Final answer
    x = 534.47

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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.