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Finding the Fourth Proportional to 918.36, 1,377.54 and 362.88

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Solution

The fourth proportional to 918.36, 1,377.54 and 362.88 is: 544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.36 : 1,377.54 = 362.88 : x
  2. Step 2: Convert to fraction form
    918.36/1,377.54 = 362.88/x
  3. Step 3: Cross multiply
    918.36x = 1,377.54 × 362.88
  4. Step 4: Simplify right side
    918.36x = 499,881.72
  5. Step 5: Solve for x
    x = 499,881.72/918.36
  6. Step 6: Final answer
    x = 544.32

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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.