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Finding the Fourth Proportional to 400.16, 598.59 and 319.16

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Solution

The fourth proportional to 400.16, 598.59 and 319.16 is: 477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 598.59 = 319.16 : x
  2. Step 2: Convert to fraction form
    400.16/598.59 = 319.16/x
  3. Step 3: Cross multiply
    400.16x = 598.59 × 319.16
  4. Step 4: Simplify right side
    400.16x = 191,045.98
  5. Step 5: Solve for x
    x = 191,045.98/400.16
  6. Step 6: Final answer
    x = 477.42

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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.