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Finding the Fourth Proportional to 314.42, 433.49 and 260.35

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Solution

The fourth proportional to 314.42, 433.49 and 260.35 is: 358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 433.49 = 260.35 : x
  2. Step 2: Convert to fraction form
    314.42/433.49 = 260.35/x
  3. Step 3: Cross multiply
    314.42x = 433.49 × 260.35
  4. Step 4: Simplify right side
    314.42x = 112,856.74
  5. Step 5: Solve for x
    x = 112,856.74/314.42
  6. Step 6: Final answer
    x = 358.94

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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.