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Finding the Fourth Proportional to 369.48, 549.76 and 368.24

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Solution

The fourth proportional to 369.48, 549.76 and 368.24 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.48 : 549.76 = 368.24 : x
  2. Step 2: Convert to fraction form
    369.48/549.76 = 368.24/x
  3. Step 3: Cross multiply
    369.48x = 549.76 × 368.24
  4. Step 4: Simplify right side
    369.48x = 202,443.62
  5. Step 5: Solve for x
    x = 202,443.62/369.48
  6. Step 6: Final answer
    x = 547.91

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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.