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Finding the Fourth Proportional to 316.55, 436.67 and 257.60

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Solution

The fourth proportional to 316.55, 436.67 and 257.60 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.55 : 436.67 = 257.60 : x
  2. Step 2: Convert to fraction form
    316.55/436.67 = 257.60/x
  3. Step 3: Cross multiply
    316.55x = 436.67 × 257.60
  4. Step 4: Simplify right side
    316.55x = 112,482.72
  5. Step 5: Solve for x
    x = 112,482.72/316.55
  6. Step 6: Final answer
    x = 355.35

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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.