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Finding the Fourth Proportional to 313.51, 469.45 and 261.87

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Solution

The fourth proportional to 313.51, 469.45 and 261.87 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.51 : 469.45 = 261.87 : x
  2. Step 2: Convert to fraction form
    313.51/469.45 = 261.87/x
  3. Step 3: Cross multiply
    313.51x = 469.45 × 261.87
  4. Step 4: Simplify right side
    313.51x = 122,933.56
  5. Step 5: Solve for x
    x = 122,933.56/313.51
  6. Step 6: Final answer
    x = 392.13

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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.