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Finding the Fourth Proportional to 314.56, 469.31 and 309.70

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Solution

The fourth proportional to 314.56, 469.31 and 309.70 is: 462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.56 : 469.31 = 309.70 : x
  2. Step 2: Convert to fraction form
    314.56/469.31 = 309.70/x
  3. Step 3: Cross multiply
    314.56x = 469.31 × 309.70
  4. Step 4: Simplify right side
    314.56x = 145,345.31
  5. Step 5: Solve for x
    x = 145,345.31/314.56
  6. Step 6: Final answer
    x = 462.06

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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.