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Finding the Fourth Proportional to 35.82, 53.10 and 35.55

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Solution

The fourth proportional to 35.82, 53.10 and 35.55 is: 52.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 53.10 = 35.55 : x
  2. Step 2: Convert to fraction form
    35.82/53.10 = 35.55/x
  3. Step 3: Cross multiply
    35.82x = 53.10 × 35.55
  4. Step 4: Simplify right side
    35.82x = 1,887.71
  5. Step 5: Solve for x
    x = 1,887.71/35.82
  6. Step 6: Final answer
    x = 52.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.