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Finding the Fourth Proportional to 257.32, 383.54 and 242.35

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Solution

The fourth proportional to 257.32, 383.54 and 242.35 is: 361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.32 : 383.54 = 242.35 : x
  2. Step 2: Convert to fraction form
    257.32/383.54 = 242.35/x
  3. Step 3: Cross multiply
    257.32x = 383.54 × 242.35
  4. Step 4: Simplify right side
    257.32x = 92,949.00
  5. Step 5: Solve for x
    x = 92,949.00/257.32
  6. Step 6: Final answer
    x = 361.22

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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.