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Finding the Fourth Proportional to 287.60, 429.62 and 258.66

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Solution

The fourth proportional to 287.60, 429.62 and 258.66 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.60 : 429.62 = 258.66 : x
  2. Step 2: Convert to fraction form
    287.60/429.62 = 258.66/x
  3. Step 3: Cross multiply
    287.60x = 429.62 × 258.66
  4. Step 4: Simplify right side
    287.60x = 111,124.22
  5. Step 5: Solve for x
    x = 111,124.22/287.60
  6. Step 6: Final answer
    x = 386.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.