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Finding the Fourth Proportional to 455.76, 628.52 and 290

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Solution

The fourth proportional to 455.76, 628.52 and 290 is: 399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.76 : 628.52 = 290 : x
  2. Step 2: Convert to fraction form
    455.76/628.52 = 290/x
  3. Step 3: Cross multiply
    455.76x = 628.52 × 290
  4. Step 4: Simplify right side
    455.76x = 182,270.80
  5. Step 5: Solve for x
    x = 182,270.80/455.76
  6. Step 6: Final answer
    x = 399.93

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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.