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Finding the Fourth Proportional to 384.19, 530.01 and 291.38

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Solution

The fourth proportional to 384.19, 530.01 and 291.38 is: 401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 530.01 = 291.38 : x
  2. Step 2: Convert to fraction form
    384.19/530.01 = 291.38/x
  3. Step 3: Cross multiply
    384.19x = 530.01 × 291.38
  4. Step 4: Simplify right side
    384.19x = 154,431.66
  5. Step 5: Solve for x
    x = 154,431.66/384.19
  6. Step 6: Final answer
    x = 401.97

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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.