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Finding the Fourth Proportional to 287.03, 430.16 and 130.74

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Solution

The fourth proportional to 287.03, 430.16 and 130.74 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.03 : 430.16 = 130.74 : x
  2. Step 2: Convert to fraction form
    287.03/430.16 = 130.74/x
  3. Step 3: Cross multiply
    287.03x = 430.16 × 130.74
  4. Step 4: Simplify right side
    287.03x = 56,239.12
  5. Step 5: Solve for x
    x = 56,239.12/287.03
  6. Step 6: Final answer
    x = 195.93

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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.