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Finding the Fourth Proportional to 434.56, 599.58 and 259.90

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Solution

The fourth proportional to 434.56, 599.58 and 259.90 is: 358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.56 : 599.58 = 259.90 : x
  2. Step 2: Convert to fraction form
    434.56/599.58 = 259.90/x
  3. Step 3: Cross multiply
    434.56x = 599.58 × 259.90
  4. Step 4: Simplify right side
    434.56x = 155,830.84
  5. Step 5: Solve for x
    x = 155,830.84/434.56
  6. Step 6: Final answer
    x = 358.59

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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.