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Finding the Fourth Proportional to 284.51, 391.64 and 269.12

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Solution

The fourth proportional to 284.51, 391.64 and 269.12 is: 370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.51 : 391.64 = 269.12 : x
  2. Step 2: Convert to fraction form
    284.51/391.64 = 269.12/x
  3. Step 3: Cross multiply
    284.51x = 391.64 × 269.12
  4. Step 4: Simplify right side
    284.51x = 105,397.79
  5. Step 5: Solve for x
    x = 105,397.79/284.51
  6. Step 6: Final answer
    x = 370.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.