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Finding the Fourth Proportional to 262.10, 391.35 and 257.30

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Solution

The fourth proportional to 262.10, 391.35 and 257.30 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.10 : 391.35 = 257.30 : x
  2. Step 2: Convert to fraction form
    262.10/391.35 = 257.30/x
  3. Step 3: Cross multiply
    262.10x = 391.35 × 257.30
  4. Step 4: Simplify right side
    262.10x = 100,693.07
  5. Step 5: Solve for x
    x = 100,693.07/262.10
  6. Step 6: Final answer
    x = 384.18

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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.