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Finding the Fourth Proportional to 48.06, 65.93 and 45.30

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Solution

The fourth proportional to 48.06, 65.93 and 45.30 is: 62.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.06 : 65.93 = 45.30 : x
  2. Step 2: Convert to fraction form
    48.06/65.93 = 45.30/x
  3. Step 3: Cross multiply
    48.06x = 65.93 × 45.30
  4. Step 4: Simplify right side
    48.06x = 2,986.40
  5. Step 5: Solve for x
    x = 2,986.40/48.06
  6. Step 6: Final answer
    x = 62.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.