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Finding the Fourth Proportional to 384.66, 530.70 and 260.25

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Solution

The fourth proportional to 384.66, 530.70 and 260.25 is: 359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.66 : 530.70 = 260.25 : x
  2. Step 2: Convert to fraction form
    384.66/530.70 = 260.25/x
  3. Step 3: Cross multiply
    384.66x = 530.70 × 260.25
  4. Step 4: Simplify right side
    384.66x = 138,114.68
  5. Step 5: Solve for x
    x = 138,114.68/384.66
  6. Step 6: Final answer
    x = 359.06

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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.