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Finding the Fourth Proportional to 366.55, 549.29 and 355.46

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Solution

The fourth proportional to 366.55, 549.29 and 355.46 is: 532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.55 : 549.29 = 355.46 : x
  2. Step 2: Convert to fraction form
    366.55/549.29 = 355.46/x
  3. Step 3: Cross multiply
    366.55x = 549.29 × 355.46
  4. Step 4: Simplify right side
    366.55x = 195,248.77
  5. Step 5: Solve for x
    x = 195,248.77/366.55
  6. Step 6: Final answer
    x = 532.67

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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.