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Finding the Fourth Proportional to 434.08, 598.88 and 259.40

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Solution

The fourth proportional to 434.08, 598.88 and 259.40 is: 357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.08 : 598.88 = 259.40 : x
  2. Step 2: Convert to fraction form
    434.08/598.88 = 259.40/x
  3. Step 3: Cross multiply
    434.08x = 598.88 × 259.40
  4. Step 4: Simplify right side
    434.08x = 155,349.47
  5. Step 5: Solve for x
    x = 155,349.47/434.08
  6. Step 6: Final answer
    x = 357.88

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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.