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Finding the Fourth Proportional to 610.18, 842.16 and 389.20

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Solution

The fourth proportional to 610.18, 842.16 and 389.20 is: 537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.18 : 842.16 = 389.20 : x
  2. Step 2: Convert to fraction form
    610.18/842.16 = 389.20/x
  3. Step 3: Cross multiply
    610.18x = 842.16 × 389.20
  4. Step 4: Simplify right side
    610.18x = 327,768.67
  5. Step 5: Solve for x
    x = 327,768.67/610.18
  6. Step 6: Final answer
    x = 537.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.