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Finding the Fourth Proportional to 438.13, 603.59 and 305.12

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Solution

The fourth proportional to 438.13, 603.59 and 305.12 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.13 : 603.59 = 305.12 : x
  2. Step 2: Convert to fraction form
    438.13/603.59 = 305.12/x
  3. Step 3: Cross multiply
    438.13x = 603.59 × 305.12
  4. Step 4: Simplify right side
    438.13x = 184,162.84
  5. Step 5: Solve for x
    x = 184,162.84/438.13
  6. Step 6: Final answer
    x = 420.34

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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.