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Finding the Fourth Proportional to 384.09, 529.36 and 290.61

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Solution

The fourth proportional to 384.09, 529.36 and 290.61 is: 400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.09 : 529.36 = 290.61 : x
  2. Step 2: Convert to fraction form
    384.09/529.36 = 290.61/x
  3. Step 3: Cross multiply
    384.09x = 529.36 × 290.61
  4. Step 4: Simplify right side
    384.09x = 153,838.89
  5. Step 5: Solve for x
    x = 153,838.89/384.09
  6. Step 6: Final answer
    x = 400.53

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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.