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Finding the Fourth Proportional to 256.97, 383.59 and 237.94

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Solution

The fourth proportional to 256.97, 383.59 and 237.94 is: 355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 383.59 = 237.94 : x
  2. Step 2: Convert to fraction form
    256.97/383.59 = 237.94/x
  3. Step 3: Cross multiply
    256.97x = 383.59 × 237.94
  4. Step 4: Simplify right side
    256.97x = 91,271.40
  5. Step 5: Solve for x
    x = 91,271.40/256.97
  6. Step 6: Final answer
    x = 355.18

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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.