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Finding the Fourth Proportional to 436.58, 602.40 and 259.60

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Solution

The fourth proportional to 436.58, 602.40 and 259.60 is: 358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.58 : 602.40 = 259.60 : x
  2. Step 2: Convert to fraction form
    436.58/602.40 = 259.60/x
  3. Step 3: Cross multiply
    436.58x = 602.40 × 259.60
  4. Step 4: Simplify right side
    436.58x = 156,383.04
  5. Step 5: Solve for x
    x = 156,383.04/436.58
  6. Step 6: Final answer
    x = 358.20

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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.