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Finding the Fourth Proportional to 501.02, 751.65 and 172.02

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Solution

The fourth proportional to 501.02, 751.65 and 172.02 is: 258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.02 : 751.65 = 172.02 : x
  2. Step 2: Convert to fraction form
    501.02/751.65 = 172.02/x
  3. Step 3: Cross multiply
    501.02x = 751.65 × 172.02
  4. Step 4: Simplify right side
    501.02x = 129,298.83
  5. Step 5: Solve for x
    x = 129,298.83/501.02
  6. Step 6: Final answer
    x = 258.07

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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.