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Finding the Fourth Proportional to 455.65, 628.72 and 278.56

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Solution

The fourth proportional to 455.65, 628.72 and 278.56 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.65 : 628.72 = 278.56 : x
  2. Step 2: Convert to fraction form
    455.65/628.72 = 278.56/x
  3. Step 3: Cross multiply
    455.65x = 628.72 × 278.56
  4. Step 4: Simplify right side
    455.65x = 175,136.24
  5. Step 5: Solve for x
    x = 175,136.24/455.65
  6. Step 6: Final answer
    x = 384.37

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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.