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Finding the Fourth Proportional to 384.36, 575.36 and 375.02

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Solution

The fourth proportional to 384.36, 575.36 and 375.02 is: 561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.36 : 575.36 = 375.02 : x
  2. Step 2: Convert to fraction form
    384.36/575.36 = 375.02/x
  3. Step 3: Cross multiply
    384.36x = 575.36 × 375.02
  4. Step 4: Simplify right side
    384.36x = 215,771.51
  5. Step 5: Solve for x
    x = 215,771.51/384.36
  6. Step 6: Final answer
    x = 561.38

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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.