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Finding the Fourth Proportional to 429.18, 591.69 and 370.09

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Solution

The fourth proportional to 429.18, 591.69 and 370.09 is: 510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.18 : 591.69 = 370.09 : x
  2. Step 2: Convert to fraction form
    429.18/591.69 = 370.09/x
  3. Step 3: Cross multiply
    429.18x = 591.69 × 370.09
  4. Step 4: Simplify right side
    429.18x = 218,980.68
  5. Step 5: Solve for x
    x = 218,980.68/429.18
  6. Step 6: Final answer
    x = 510.23

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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.