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Finding the Fourth Proportional to 434.14, 598.93 and 259.18

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Solution

The fourth proportional to 434.14, 598.93 and 259.18 is: 357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 598.93 = 259.18 : x
  2. Step 2: Convert to fraction form
    434.14/598.93 = 259.18/x
  3. Step 3: Cross multiply
    434.14x = 598.93 × 259.18
  4. Step 4: Simplify right side
    434.14x = 155,230.68
  5. Step 5: Solve for x
    x = 155,230.68/434.14
  6. Step 6: Final answer
    x = 357.56

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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.