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Finding the Fourth Proportional to 314.60, 469.29 and 309.56

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Solution

The fourth proportional to 314.60, 469.29 and 309.56 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 469.29 = 309.56 : x
  2. Step 2: Convert to fraction form
    314.60/469.29 = 309.56/x
  3. Step 3: Cross multiply
    314.60x = 469.29 × 309.56
  4. Step 4: Simplify right side
    314.60x = 145,271.86
  5. Step 5: Solve for x
    x = 145,271.86/314.60
  6. Step 6: Final answer
    x = 461.77

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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.