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Finding the Fourth Proportional to 434.07, 598.86 and 268.29

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Solution

The fourth proportional to 434.07, 598.86 and 268.29 is: 370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.07 : 598.86 = 268.29 : x
  2. Step 2: Convert to fraction form
    434.07/598.86 = 268.29/x
  3. Step 3: Cross multiply
    434.07x = 598.86 × 268.29
  4. Step 4: Simplify right side
    434.07x = 160,668.15
  5. Step 5: Solve for x
    x = 160,668.15/434.07
  6. Step 6: Final answer
    x = 370.14

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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.