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Finding the Fourth Proportional to 383.22, 575.16 and 302.58

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Solution

The fourth proportional to 383.22, 575.16 and 302.58 is: 454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.22 : 575.16 = 302.58 : x
  2. Step 2: Convert to fraction form
    383.22/575.16 = 302.58/x
  3. Step 3: Cross multiply
    383.22x = 575.16 × 302.58
  4. Step 4: Simplify right side
    383.22x = 174,031.91
  5. Step 5: Solve for x
    x = 174,031.91/383.22
  6. Step 6: Final answer
    x = 454.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.