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Finding the Fourth Proportional to 437.31, 659.25 and 365.63

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Solution

The fourth proportional to 437.31, 659.25 and 365.63 is: 551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.31 : 659.25 = 365.63 : x
  2. Step 2: Convert to fraction form
    437.31/659.25 = 365.63/x
  3. Step 3: Cross multiply
    437.31x = 659.25 × 365.63
  4. Step 4: Simplify right side
    437.31x = 241,038.28
  5. Step 5: Solve for x
    x = 241,038.28/437.31
  6. Step 6: Final answer
    x = 551.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.