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Finding the Fourth Proportional to 320.19, 438.98 and 314.35

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Solution

The fourth proportional to 320.19, 438.98 and 314.35 is: 430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 438.98 = 314.35 : x
  2. Step 2: Convert to fraction form
    320.19/438.98 = 314.35/x
  3. Step 3: Cross multiply
    320.19x = 438.98 × 314.35
  4. Step 4: Simplify right side
    320.19x = 137,995.47
  5. Step 5: Solve for x
    x = 137,995.47/320.19
  6. Step 6: Final answer
    x = 430.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.