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Finding the Fourth Proportional to 35.61, 53.31 and 30.78

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Solution

The fourth proportional to 35.61, 53.31 and 30.78 is: 46.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.61 : 53.31 = 30.78 : x
  2. Step 2: Convert to fraction form
    35.61/53.31 = 30.78/x
  3. Step 3: Cross multiply
    35.61x = 53.31 × 30.78
  4. Step 4: Simplify right side
    35.61x = 1,640.82
  5. Step 5: Solve for x
    x = 1,640.82/35.61
  6. Step 6: Final answer
    x = 46.07

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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.