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Finding the Fourth Proportional to 314.70, 468.93 and 282.39

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Solution

The fourth proportional to 314.70, 468.93 and 282.39 is: 420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 468.93 = 282.39 : x
  2. Step 2: Convert to fraction form
    314.70/468.93 = 282.39/x
  3. Step 3: Cross multiply
    314.70x = 468.93 × 282.39
  4. Step 4: Simplify right side
    314.70x = 132,421.14
  5. Step 5: Solve for x
    x = 132,421.14/314.70
  6. Step 6: Final answer
    x = 420.79

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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.