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Finding the Fourth Proportional to 367.12, 507 and 256.78

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Solution

The fourth proportional to 367.12, 507 and 256.78 is: 354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.12 : 507 = 256.78 : x
  2. Step 2: Convert to fraction form
    367.12/507 = 256.78/x
  3. Step 3: Cross multiply
    367.12x = 507 × 256.78
  4. Step 4: Simplify right side
    367.12x = 130,187.46
  5. Step 5: Solve for x
    x = 130,187.46/367.12
  6. Step 6: Final answer
    x = 354.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.