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Finding the Fourth Proportional to 495.21, 742.76 and 130.04

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Solution

The fourth proportional to 495.21, 742.76 and 130.04 is: 195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.21 : 742.76 = 130.04 : x
  2. Step 2: Convert to fraction form
    495.21/742.76 = 130.04/x
  3. Step 3: Cross multiply
    495.21x = 742.76 × 130.04
  4. Step 4: Simplify right side
    495.21x = 96,588.51
  5. Step 5: Solve for x
    x = 96,588.51/495.21
  6. Step 6: Final answer
    x = 195.05

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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.