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Finding the Fourth Proportional to 361.51, 538.25 and 356.40

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Solution

The fourth proportional to 361.51, 538.25 and 356.40 is: 530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.51 : 538.25 = 356.40 : x
  2. Step 2: Convert to fraction form
    361.51/538.25 = 356.40/x
  3. Step 3: Cross multiply
    361.51x = 538.25 × 356.40
  4. Step 4: Simplify right side
    361.51x = 191,830.52
  5. Step 5: Solve for x
    x = 191,830.52/361.51
  6. Step 6: Final answer
    x = 530.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.