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Finding the Fourth Proportional to 438.03, 603.95 and 313.63

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Solution

The fourth proportional to 438.03, 603.95 and 313.63 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.03 : 603.95 = 313.63 : x
  2. Step 2: Convert to fraction form
    438.03/603.95 = 313.63/x
  3. Step 3: Cross multiply
    438.03x = 603.95 × 313.63
  4. Step 4: Simplify right side
    438.03x = 189,413.76
  5. Step 5: Solve for x
    x = 189,413.76/438.03
  6. Step 6: Final answer
    x = 432.42

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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.