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Finding the Fourth Proportional to 46.53, 64.23 and 31.98

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Solution

The fourth proportional to 46.53, 64.23 and 31.98 is: 44.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.53 : 64.23 = 31.98 : x
  2. Step 2: Convert to fraction form
    46.53/64.23 = 31.98/x
  3. Step 3: Cross multiply
    46.53x = 64.23 × 31.98
  4. Step 4: Simplify right side
    46.53x = 2,054.08
  5. Step 5: Solve for x
    x = 2,054.08/46.53
  6. Step 6: Final answer
    x = 44.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.