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Finding the Fourth Proportional to 309.45, 463.59 and 240.72

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Solution

The fourth proportional to 309.45, 463.59 and 240.72 is: 360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.45 : 463.59 = 240.72 : x
  2. Step 2: Convert to fraction form
    309.45/463.59 = 240.72/x
  3. Step 3: Cross multiply
    309.45x = 463.59 × 240.72
  4. Step 4: Simplify right side
    309.45x = 111,595.38
  5. Step 5: Solve for x
    x = 111,595.38/309.45
  6. Step 6: Final answer
    x = 360.62

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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.