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Finding the Fourth Proportional to 291.62, 435.30 and 257.03

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Solution

The fourth proportional to 291.62, 435.30 and 257.03 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.62 : 435.30 = 257.03 : x
  2. Step 2: Convert to fraction form
    291.62/435.30 = 257.03/x
  3. Step 3: Cross multiply
    291.62x = 435.30 × 257.03
  4. Step 4: Simplify right side
    291.62x = 111,882.98
  5. Step 5: Solve for x
    x = 111,882.98/291.62
  6. Step 6: Final answer
    x = 383.66

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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.