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Finding the Fourth Proportional to 291.97, 435.95 and 257.46

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Solution

The fourth proportional to 291.97, 435.95 and 257.46 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.97 : 435.95 = 257.46 : x
  2. Step 2: Convert to fraction form
    291.97/435.95 = 257.46/x
  3. Step 3: Cross multiply
    291.97x = 435.95 × 257.46
  4. Step 4: Simplify right side
    291.97x = 112,239.69
  5. Step 5: Solve for x
    x = 112,239.69/291.97
  6. Step 6: Final answer
    x = 384.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.