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Finding the Fourth Proportional to 302.34, 417.62 and 223.77

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Solution

The fourth proportional to 302.34, 417.62 and 223.77 is: 309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.34 : 417.62 = 223.77 : x
  2. Step 2: Convert to fraction form
    302.34/417.62 = 223.77/x
  3. Step 3: Cross multiply
    302.34x = 417.62 × 223.77
  4. Step 4: Simplify right side
    302.34x = 93,449.71
  5. Step 5: Solve for x
    x = 93,449.71/302.34
  6. Step 6: Final answer
    x = 309.09

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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.