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Finding the Fourth Proportional to 253, 348.80 and 165.52

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Solution

The fourth proportional to 253, 348.80 and 165.52 is: 228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253 : 348.80 = 165.52 : x
  2. Step 2: Convert to fraction form
    253/348.80 = 165.52/x
  3. Step 3: Cross multiply
    253x = 348.80 × 165.52
  4. Step 4: Simplify right side
    253x = 57,733.38
  5. Step 5: Solve for x
    x = 57,733.38/253
  6. Step 6: Final answer
    x = 228.20

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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.