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Finding the Fourth Proportional to 314.46, 469.35 and 288.81

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Solution

The fourth proportional to 314.46, 469.35 and 288.81 is: 431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 469.35 = 288.81 : x
  2. Step 2: Convert to fraction form
    314.46/469.35 = 288.81/x
  3. Step 3: Cross multiply
    314.46x = 469.35 × 288.81
  4. Step 4: Simplify right side
    314.46x = 135,552.97
  5. Step 5: Solve for x
    x = 135,552.97/314.46
  6. Step 6: Final answer
    x = 431.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.