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Finding the Fourth Proportional to 358.90, 538.08 and 256.12

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Solution

The fourth proportional to 358.90, 538.08 and 256.12 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.90 : 538.08 = 256.12 : x
  2. Step 2: Convert to fraction form
    358.90/538.08 = 256.12/x
  3. Step 3: Cross multiply
    358.90x = 538.08 × 256.12
  4. Step 4: Simplify right side
    358.90x = 137,813.05
  5. Step 5: Solve for x
    x = 137,813.05/358.90
  6. Step 6: Final answer
    x = 383.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.