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Finding the Fourth Proportional to 384.18, 530.51 and 260.25

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Solution

The fourth proportional to 384.18, 530.51 and 260.25 is: 359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.18 : 530.51 = 260.25 : x
  2. Step 2: Convert to fraction form
    384.18/530.51 = 260.25/x
  3. Step 3: Cross multiply
    384.18x = 530.51 × 260.25
  4. Step 4: Simplify right side
    384.18x = 138,065.23
  5. Step 5: Solve for x
    x = 138,065.23/384.18
  6. Step 6: Final answer
    x = 359.38

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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.