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Finding the Fourth Proportional to 247.70, 342.10 and 165.19

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Solution

The fourth proportional to 247.70, 342.10 and 165.19 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.70 : 342.10 = 165.19 : x
  2. Step 2: Convert to fraction form
    247.70/342.10 = 165.19/x
  3. Step 3: Cross multiply
    247.70x = 342.10 × 165.19
  4. Step 4: Simplify right side
    247.70x = 56,509.79
  5. Step 5: Solve for x
    x = 56,509.79/247.70
  6. Step 6: Final answer
    x = 228.14

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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.