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Finding the Fourth Proportional to 223.61, 307.83 and 192.93

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Solution

The fourth proportional to 223.61, 307.83 and 192.93 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.61 : 307.83 = 192.93 : x
  2. Step 2: Convert to fraction form
    223.61/307.83 = 192.93/x
  3. Step 3: Cross multiply
    223.61x = 307.83 × 192.93
  4. Step 4: Simplify right side
    223.61x = 59,389.21
  5. Step 5: Solve for x
    x = 59,389.21/223.61
  6. Step 6: Final answer
    x = 265.60

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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.