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Finding the Fourth Proportional to 374.05, 558.63 and 313.23

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Solution

The fourth proportional to 374.05, 558.63 and 313.23 is: 467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.05 : 558.63 = 313.23 : x
  2. Step 2: Convert to fraction form
    374.05/558.63 = 313.23/x
  3. Step 3: Cross multiply
    374.05x = 558.63 × 313.23
  4. Step 4: Simplify right side
    374.05x = 174,979.67
  5. Step 5: Solve for x
    x = 174,979.67/374.05
  6. Step 6: Final answer
    x = 467.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.