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Finding the Fourth Proportional to 367.74, 507.08 and 257.16

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Solution

The fourth proportional to 367.74, 507.08 and 257.16 is: 354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 507.08 = 257.16 : x
  2. Step 2: Convert to fraction form
    367.74/507.08 = 257.16/x
  3. Step 3: Cross multiply
    367.74x = 507.08 × 257.16
  4. Step 4: Simplify right side
    367.74x = 130,400.69
  5. Step 5: Solve for x
    x = 130,400.69/367.74
  6. Step 6: Final answer
    x = 354.60

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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.