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Finding the Fourth Proportional to 314.76, 469.32 and 309.72

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Solution

The fourth proportional to 314.76, 469.32 and 309.72 is: 461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 469.32 = 309.72 : x
  2. Step 2: Convert to fraction form
    314.76/469.32 = 309.72/x
  3. Step 3: Cross multiply
    314.76x = 469.32 × 309.72
  4. Step 4: Simplify right side
    314.76x = 145,357.79
  5. Step 5: Solve for x
    x = 145,357.79/314.76
  6. Step 6: Final answer
    x = 461.81

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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.