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Finding the Fourth Proportional to 434.06, 598.73 and 276.58

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Solution

The fourth proportional to 434.06, 598.73 and 276.58 is: 381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.06 : 598.73 = 276.58 : x
  2. Step 2: Convert to fraction form
    434.06/598.73 = 276.58/x
  3. Step 3: Cross multiply
    434.06x = 598.73 × 276.58
  4. Step 4: Simplify right side
    434.06x = 165,596.11
  5. Step 5: Solve for x
    x = 165,596.11/434.06
  6. Step 6: Final answer
    x = 381.51

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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.