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Finding the Fourth Proportional to 366.40, 549.69 and 258.40

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Solution

The fourth proportional to 366.40, 549.69 and 258.40 is: 387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 549.69 = 258.40 : x
  2. Step 2: Convert to fraction form
    366.40/549.69 = 258.40/x
  3. Step 3: Cross multiply
    366.40x = 549.69 × 258.40
  4. Step 4: Simplify right side
    366.40x = 142,039.90
  5. Step 5: Solve for x
    x = 142,039.90/366.40
  6. Step 6: Final answer
    x = 387.66

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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.