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Finding the Fourth Proportional to 918.13, 1,376.88 and 268.69

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Solution

The fourth proportional to 918.13, 1,376.88 and 268.69 is: 402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.13 : 1,376.88 = 268.69 : x
  2. Step 2: Convert to fraction form
    918.13/1,376.88 = 268.69/x
  3. Step 3: Cross multiply
    918.13x = 1,376.88 × 268.69
  4. Step 4: Simplify right side
    918.13x = 369,953.89
  5. Step 5: Solve for x
    x = 369,953.89/918.13
  6. Step 6: Final answer
    x = 402.94

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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.