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Finding the Fourth Proportional to 302.18, 413.81 and 285.53

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Solution

The fourth proportional to 302.18, 413.81 and 285.53 is: 391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.18 : 413.81 = 285.53 : x
  2. Step 2: Convert to fraction form
    302.18/413.81 = 285.53/x
  3. Step 3: Cross multiply
    302.18x = 413.81 × 285.53
  4. Step 4: Simplify right side
    302.18x = 118,153.74
  5. Step 5: Solve for x
    x = 118,153.74/302.18
  6. Step 6: Final answer
    x = 391.00

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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.