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Finding the Fourth Proportional to 536.80, 805.20 and 248.80

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Solution

The fourth proportional to 536.80, 805.20 and 248.80 is: 373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 805.20 = 248.80 : x
  2. Step 2: Convert to fraction form
    536.80/805.20 = 248.80/x
  3. Step 3: Cross multiply
    536.80x = 805.20 × 248.80
  4. Step 4: Simplify right side
    536.80x = 200,333.76
  5. Step 5: Solve for x
    x = 200,333.76/536.80
  6. Step 6: Final answer
    x = 373.20

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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.