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Finding the Fourth Proportional to 374.23, 561.35 and 312.79

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Solution

The fourth proportional to 374.23, 561.35 and 312.79 is: 469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.23 : 561.35 = 312.79 : x
  2. Step 2: Convert to fraction form
    374.23/561.35 = 312.79/x
  3. Step 3: Cross multiply
    374.23x = 561.35 × 312.79
  4. Step 4: Simplify right side
    374.23x = 175,584.67
  5. Step 5: Solve for x
    x = 175,584.67/374.23
  6. Step 6: Final answer
    x = 469.19

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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.