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Finding the Fourth Proportional to 458.04, 632.06 and 302.84

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Solution

The fourth proportional to 458.04, 632.06 and 302.84 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.04 : 632.06 = 302.84 : x
  2. Step 2: Convert to fraction form
    458.04/632.06 = 302.84/x
  3. Step 3: Cross multiply
    458.04x = 632.06 × 302.84
  4. Step 4: Simplify right side
    458.04x = 191,413.05
  5. Step 5: Solve for x
    x = 191,413.05/458.04
  6. Step 6: Final answer
    x = 417.90

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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.