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Finding the Fourth Proportional to 501.18, 751.78 and 192.98

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Solution

The fourth proportional to 501.18, 751.78 and 192.98 is: 289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.18 : 751.78 = 192.98 : x
  2. Step 2: Convert to fraction form
    501.18/751.78 = 192.98/x
  3. Step 3: Cross multiply
    501.18x = 751.78 × 192.98
  4. Step 4: Simplify right side
    501.18x = 145,075.66
  5. Step 5: Solve for x
    x = 145,075.66/501.18
  6. Step 6: Final answer
    x = 289.47

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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.