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Finding the Fourth Proportional to 312.51, 468.77 and 96.11

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Solution

The fourth proportional to 312.51, 468.77 and 96.11 is: 144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 468.77 = 96.11 : x
  2. Step 2: Convert to fraction form
    312.51/468.77 = 96.11/x
  3. Step 3: Cross multiply
    312.51x = 468.77 × 96.11
  4. Step 4: Simplify right side
    312.51x = 45,050.66
  5. Step 5: Solve for x
    x = 45,050.66/312.51
  6. Step 6: Final answer
    x = 144.16

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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.