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Finding the Fourth Proportional to 314.39, 469.02 and 306.33

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Solution

The fourth proportional to 314.39, 469.02 and 306.33 is: 457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.39 : 469.02 = 306.33 : x
  2. Step 2: Convert to fraction form
    314.39/469.02 = 306.33/x
  3. Step 3: Cross multiply
    314.39x = 469.02 × 306.33
  4. Step 4: Simplify right side
    314.39x = 143,674.90
  5. Step 5: Solve for x
    x = 143,674.90/314.39
  6. Step 6: Final answer
    x = 457.00

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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.