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Finding the Fourth Proportional to 434.08, 597.76 and 340.44

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Solution

The fourth proportional to 434.08, 597.76 and 340.44 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.08 : 597.76 = 340.44 : x
  2. Step 2: Convert to fraction form
    434.08/597.76 = 340.44/x
  3. Step 3: Cross multiply
    434.08x = 597.76 × 340.44
  4. Step 4: Simplify right side
    434.08x = 203,501.41
  5. Step 5: Solve for x
    x = 203,501.41/434.08
  6. Step 6: Final answer
    x = 468.81

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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.