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Finding the Fourth Proportional to 325.84, 486.08 and 314.86

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Solution

The fourth proportional to 325.84, 486.08 and 314.86 is: 469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.84 : 486.08 = 314.86 : x
  2. Step 2: Convert to fraction form
    325.84/486.08 = 314.86/x
  3. Step 3: Cross multiply
    325.84x = 486.08 × 314.86
  4. Step 4: Simplify right side
    325.84x = 153,047.15
  5. Step 5: Solve for x
    x = 153,047.15/325.84
  6. Step 6: Final answer
    x = 469.70

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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.