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Finding the Fourth Proportional to 413.36, 616.94 and 358.32

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Solution

The fourth proportional to 413.36, 616.94 and 358.32 is: 534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.36 : 616.94 = 358.32 : x
  2. Step 2: Convert to fraction form
    413.36/616.94 = 358.32/x
  3. Step 3: Cross multiply
    413.36x = 616.94 × 358.32
  4. Step 4: Simplify right side
    413.36x = 221,061.94
  5. Step 5: Solve for x
    x = 221,061.94/413.36
  6. Step 6: Final answer
    x = 534.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.