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Finding the Fourth Proportional to 309.48, 463.40 and 164.76

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Solution

The fourth proportional to 309.48, 463.40 and 164.76 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 463.40 = 164.76 : x
  2. Step 2: Convert to fraction form
    309.48/463.40 = 164.76/x
  3. Step 3: Cross multiply
    309.48x = 463.40 × 164.76
  4. Step 4: Simplify right side
    309.48x = 76,349.78
  5. Step 5: Solve for x
    x = 76,349.78/309.48
  6. Step 6: Final answer
    x = 246.70

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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.