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Finding the Fourth Proportional to 330.51, 495.36 and 290.01

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Solution

The fourth proportional to 330.51, 495.36 and 290.01 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.51 : 495.36 = 290.01 : x
  2. Step 2: Convert to fraction form
    330.51/495.36 = 290.01/x
  3. Step 3: Cross multiply
    330.51x = 495.36 × 290.01
  4. Step 4: Simplify right side
    330.51x = 143,659.35
  5. Step 5: Solve for x
    x = 143,659.35/330.51
  6. Step 6: Final answer
    x = 434.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.