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Finding the Fourth Proportional to 312.99, 469.64 and 130.51

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Solution

The fourth proportional to 312.99, 469.64 and 130.51 is: 195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.99 : 469.64 = 130.51 : x
  2. Step 2: Convert to fraction form
    312.99/469.64 = 130.51/x
  3. Step 3: Cross multiply
    312.99x = 469.64 × 130.51
  4. Step 4: Simplify right side
    312.99x = 61,292.72
  5. Step 5: Solve for x
    x = 61,292.72/312.99
  6. Step 6: Final answer
    x = 195.83

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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.