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Finding the Fourth Proportional to 325.66, 486.16 and 314.26

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Solution

The fourth proportional to 325.66, 486.16 and 314.26 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.66 : 486.16 = 314.26 : x
  2. Step 2: Convert to fraction form
    325.66/486.16 = 314.26/x
  3. Step 3: Cross multiply
    325.66x = 486.16 × 314.26
  4. Step 4: Simplify right side
    325.66x = 152,779.07
  5. Step 5: Solve for x
    x = 152,779.07/325.66
  6. Step 6: Final answer
    x = 469.14

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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.