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Finding the Fourth Proportional to 457.47, 631.61 and 302.31

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Solution

The fourth proportional to 457.47, 631.61 and 302.31 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.47 : 631.61 = 302.31 : x
  2. Step 2: Convert to fraction form
    457.47/631.61 = 302.31/x
  3. Step 3: Cross multiply
    457.47x = 631.61 × 302.31
  4. Step 4: Simplify right side
    457.47x = 190,942.02
  5. Step 5: Solve for x
    x = 190,942.02/457.47
  6. Step 6: Final answer
    x = 417.39

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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.