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Finding the Fourth Proportional to 314.40, 434.40 and 289.92

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Solution

The fourth proportional to 314.40, 434.40 and 289.92 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.40 : 434.40 = 289.92 : x
  2. Step 2: Convert to fraction form
    314.40/434.40 = 289.92/x
  3. Step 3: Cross multiply
    314.40x = 434.40 × 289.92
  4. Step 4: Simplify right side
    314.40x = 125,941.25
  5. Step 5: Solve for x
    x = 125,941.25/314.40
  6. Step 6: Final answer
    x = 400.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.