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Finding the Fourth Proportional to 367.84, 507.80 and 257.90

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Solution

The fourth proportional to 367.84, 507.80 and 257.90 is: 356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 507.80 = 257.90 : x
  2. Step 2: Convert to fraction form
    367.84/507.80 = 257.90/x
  3. Step 3: Cross multiply
    367.84x = 507.80 × 257.90
  4. Step 4: Simplify right side
    367.84x = 130,957.79
  5. Step 5: Solve for x
    x = 130,957.79/367.84
  6. Step 6: Final answer
    x = 356.02

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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.