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Finding the Fourth Proportional to 434.00, 598.84 and 276.35

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Solution

The fourth proportional to 434.00, 598.84 and 276.35 is: 381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.00 : 598.84 = 276.35 : x
  2. Step 2: Convert to fraction form
    434.00/598.84 = 276.35/x
  3. Step 3: Cross multiply
    434.00x = 598.84 × 276.35
  4. Step 4: Simplify right side
    434.00x = 165,490.24
  5. Step 5: Solve for x
    x = 165,490.24/434.00
  6. Step 6: Final answer
    x = 381.31

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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.