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Finding the Fourth Proportional to 397.80, 595.90 and 253

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Solution

The fourth proportional to 397.80, 595.90 and 253 is: 378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.80 : 595.90 = 253 : x
  2. Step 2: Convert to fraction form
    397.80/595.90 = 253/x
  3. Step 3: Cross multiply
    397.80x = 595.90 × 253
  4. Step 4: Simplify right side
    397.80x = 150,762.70
  5. Step 5: Solve for x
    x = 150,762.70/397.80
  6. Step 6: Final answer
    x = 378.99

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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.