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Finding the Fourth Proportional to 434.34, 599.40 and 259.74

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Solution

The fourth proportional to 434.34, 599.40 and 259.74 is: 358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 599.40 = 259.74 : x
  2. Step 2: Convert to fraction form
    434.34/599.40 = 259.74/x
  3. Step 3: Cross multiply
    434.34x = 599.40 × 259.74
  4. Step 4: Simplify right side
    434.34x = 155,688.16
  5. Step 5: Solve for x
    x = 155,688.16/434.34
  6. Step 6: Final answer
    x = 358.45

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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.