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Finding the Fourth Proportional to 366.64, 549.35 and 258.20

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Solution

The fourth proportional to 366.64, 549.35 and 258.20 is: 386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.64 : 549.35 = 258.20 : x
  2. Step 2: Convert to fraction form
    366.64/549.35 = 258.20/x
  3. Step 3: Cross multiply
    366.64x = 549.35 × 258.20
  4. Step 4: Simplify right side
    366.64x = 141,841.16
  5. Step 5: Solve for x
    x = 141,841.16/366.64
  6. Step 6: Final answer
    x = 386.87

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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.