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Finding the Fourth Proportional to 464.13, 696.20 and 117.45

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Solution

The fourth proportional to 464.13, 696.20 and 117.45 is: 176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 696.20 = 117.45 : x
  2. Step 2: Convert to fraction form
    464.13/696.20 = 117.45/x
  3. Step 3: Cross multiply
    464.13x = 696.20 × 117.45
  4. Step 4: Simplify right side
    464.13x = 81,768.10
  5. Step 5: Solve for x
    x = 81,768.10/464.13
  6. Step 6: Final answer
    x = 176.18

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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.