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Finding the Fourth Proportional to 384.51, 530.54 and 237.15

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Solution

The fourth proportional to 384.51, 530.54 and 237.15 is: 327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.51 : 530.54 = 237.15 : x
  2. Step 2: Convert to fraction form
    384.51/530.54 = 237.15/x
  3. Step 3: Cross multiply
    384.51x = 530.54 × 237.15
  4. Step 4: Simplify right side
    384.51x = 125,816.38
  5. Step 5: Solve for x
    x = 125,816.38/384.51
  6. Step 6: Final answer
    x = 327.21

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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.