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Finding the Fourth Proportional to 313.17, 469.33 and 176.01

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Solution

The fourth proportional to 313.17, 469.33 and 176.01 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.17 : 469.33 = 176.01 : x
  2. Step 2: Convert to fraction form
    313.17/469.33 = 176.01/x
  3. Step 3: Cross multiply
    313.17x = 469.33 × 176.01
  4. Step 4: Simplify right side
    313.17x = 82,604.57
  5. Step 5: Solve for x
    x = 82,604.57/313.17
  6. Step 6: Final answer
    x = 263.77

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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.