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Finding the Fourth Proportional to 378.09, 569.95 and 353.00

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Solution

The fourth proportional to 378.09, 569.95 and 353.00 is: 532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 569.95 = 353.00 : x
  2. Step 2: Convert to fraction form
    378.09/569.95 = 353.00/x
  3. Step 3: Cross multiply
    378.09x = 569.95 × 353.00
  4. Step 4: Simplify right side
    378.09x = 201,192.89
  5. Step 5: Solve for x
    x = 201,192.89/378.09
  6. Step 6: Final answer
    x = 532.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.