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Finding the Fourth Proportional to 315.39, 473.08 and 261.66

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Solution

The fourth proportional to 315.39, 473.08 and 261.66 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.39 : 473.08 = 261.66 : x
  2. Step 2: Convert to fraction form
    315.39/473.08 = 261.66/x
  3. Step 3: Cross multiply
    315.39x = 473.08 × 261.66
  4. Step 4: Simplify right side
    315.39x = 123,783.09
  5. Step 5: Solve for x
    x = 123,783.09/315.39
  6. Step 6: Final answer
    x = 392.48

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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.