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Finding the Fourth Proportional to 384.58, 530.45 and 237.26

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Solution

The fourth proportional to 384.58, 530.45 and 237.26 is: 327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.58 : 530.45 = 237.26 : x
  2. Step 2: Convert to fraction form
    384.58/530.45 = 237.26/x
  3. Step 3: Cross multiply
    384.58x = 530.45 × 237.26
  4. Step 4: Simplify right side
    384.58x = 125,855.60
  5. Step 5: Solve for x
    x = 125,855.60/384.58
  6. Step 6: Final answer
    x = 327.25

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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.