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Finding the Fourth Proportional to 316.61, 436.37 and 260.76

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Solution

The fourth proportional to 316.61, 436.37 and 260.76 is: 359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.61 : 436.37 = 260.76 : x
  2. Step 2: Convert to fraction form
    316.61/436.37 = 260.76/x
  3. Step 3: Cross multiply
    316.61x = 436.37 × 260.76
  4. Step 4: Simplify right side
    316.61x = 113,787.67
  5. Step 5: Solve for x
    x = 113,787.67/316.61
  6. Step 6: Final answer
    x = 359.40

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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.