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Finding the Fourth Proportional to 438.45, 603.45 and 313.91

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Solution

The fourth proportional to 438.45, 603.45 and 313.91 is: 432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.45 : 603.45 = 313.91 : x
  2. Step 2: Convert to fraction form
    438.45/603.45 = 313.91/x
  3. Step 3: Cross multiply
    438.45x = 603.45 × 313.91
  4. Step 4: Simplify right side
    438.45x = 189,428.24
  5. Step 5: Solve for x
    x = 189,428.24/438.45
  6. Step 6: Final answer
    x = 432.04

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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.