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Finding the Fourth Proportional to 309.47, 462.15 and 293.67

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Solution

The fourth proportional to 309.47, 462.15 and 293.67 is: 438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.47 : 462.15 = 293.67 : x
  2. Step 2: Convert to fraction form
    309.47/462.15 = 293.67/x
  3. Step 3: Cross multiply
    309.47x = 462.15 × 293.67
  4. Step 4: Simplify right side
    309.47x = 135,719.59
  5. Step 5: Solve for x
    x = 135,719.59/309.47
  6. Step 6: Final answer
    x = 438.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.