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Finding the Fourth Proportional to 438.48, 603.42 and 340.20

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Solution

The fourth proportional to 438.48, 603.42 and 340.20 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.48 : 603.42 = 340.20 : x
  2. Step 2: Convert to fraction form
    438.48/603.42 = 340.20/x
  3. Step 3: Cross multiply
    438.48x = 603.42 × 340.20
  4. Step 4: Simplify right side
    438.48x = 205,283.48
  5. Step 5: Solve for x
    x = 205,283.48/438.48
  6. Step 6: Final answer
    x = 468.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.