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Finding the Fourth Proportional to 355.66, 533.08 and 172.63

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Solution

The fourth proportional to 355.66, 533.08 and 172.63 is: 258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.66 : 533.08 = 172.63 : x
  2. Step 2: Convert to fraction form
    355.66/533.08 = 172.63/x
  3. Step 3: Cross multiply
    355.66x = 533.08 × 172.63
  4. Step 4: Simplify right side
    355.66x = 92,026.48
  5. Step 5: Solve for x
    x = 92,026.48/355.66
  6. Step 6: Final answer
    x = 258.75

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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.