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Finding the Fourth Proportional to 52.01, 78.36 and 46.48

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Solution

The fourth proportional to 52.01, 78.36 and 46.48 is: 70.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.01 : 78.36 = 46.48 : x
  2. Step 2: Convert to fraction form
    52.01/78.36 = 46.48/x
  3. Step 3: Cross multiply
    52.01x = 78.36 × 46.48
  4. Step 4: Simplify right side
    52.01x = 3,642.45
  5. Step 5: Solve for x
    x = 3,642.45/52.01
  6. Step 6: Final answer
    x = 70.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.