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Finding the Fourth Proportional to 456.72, 629.95 and 290.98

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Solution

The fourth proportional to 456.72, 629.95 and 290.98 is: 401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.72 : 629.95 = 290.98 : x
  2. Step 2: Convert to fraction form
    456.72/629.95 = 290.98/x
  3. Step 3: Cross multiply
    456.72x = 629.95 × 290.98
  4. Step 4: Simplify right side
    456.72x = 183,302.85
  5. Step 5: Solve for x
    x = 183,302.85/456.72
  6. Step 6: Final answer
    x = 401.35

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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.