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Finding the Fourth Proportional to 412.98, 570.08 and 247.16

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Solution

The fourth proportional to 412.98, 570.08 and 247.16 is: 341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 570.08 = 247.16 : x
  2. Step 2: Convert to fraction form
    412.98/570.08 = 247.16/x
  3. Step 3: Cross multiply
    412.98x = 570.08 × 247.16
  4. Step 4: Simplify right side
    412.98x = 140,900.97
  5. Step 5: Solve for x
    x = 140,900.97/412.98
  6. Step 6: Final answer
    x = 341.18

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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.