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Finding the Fourth Proportional to 315.67, 432.84 and 284.46

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Solution

The fourth proportional to 315.67, 432.84 and 284.46 is: 390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.67 : 432.84 = 284.46 : x
  2. Step 2: Convert to fraction form
    315.67/432.84 = 284.46/x
  3. Step 3: Cross multiply
    315.67x = 432.84 × 284.46
  4. Step 4: Simplify right side
    315.67x = 123,127.54
  5. Step 5: Solve for x
    x = 123,127.54/315.67
  6. Step 6: Final answer
    x = 390.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.