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Finding the Fourth Proportional to 3.17, 4.77 and 1.48

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Solution

The fourth proportional to 3.17, 4.77 and 1.48 is: 2.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.17 : 4.77 = 1.48 : x
  2. Step 2: Convert to fraction form
    3.17/4.77 = 1.48/x
  3. Step 3: Cross multiply
    3.17x = 4.77 × 1.48
  4. Step 4: Simplify right side
    3.17x = 7.06
  5. Step 5: Solve for x
    x = 7.06/3.17
  6. Step 6: Final answer
    x = 2.23

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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.