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Finding the Fourth Proportional to 558.76, 838.14 and 366.34

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Solution

The fourth proportional to 558.76, 838.14 and 366.34 is: 549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.76 : 838.14 = 366.34 : x
  2. Step 2: Convert to fraction form
    558.76/838.14 = 366.34/x
  3. Step 3: Cross multiply
    558.76x = 838.14 × 366.34
  4. Step 4: Simplify right side
    558.76x = 307,044.21
  5. Step 5: Solve for x
    x = 307,044.21/558.76
  6. Step 6: Final answer
    x = 549.51

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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.