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Finding the Fourth Proportional to 434.34, 598.38 and 309.81

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Solution

The fourth proportional to 434.34, 598.38 and 309.81 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 598.38 = 309.81 : x
  2. Step 2: Convert to fraction form
    434.34/598.38 = 309.81/x
  3. Step 3: Cross multiply
    434.34x = 598.38 × 309.81
  4. Step 4: Simplify right side
    434.34x = 185,384.11
  5. Step 5: Solve for x
    x = 185,384.11/434.34
  6. Step 6: Final answer
    x = 426.82

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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.