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Finding the Fourth Proportional to 384.40, 530.40 and 260.16

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Solution

The fourth proportional to 384.40, 530.40 and 260.16 is: 358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.40 : 530.40 = 260.16 : x
  2. Step 2: Convert to fraction form
    384.40/530.40 = 260.16/x
  3. Step 3: Cross multiply
    384.40x = 530.40 × 260.16
  4. Step 4: Simplify right side
    384.40x = 137,988.86
  5. Step 5: Solve for x
    x = 137,988.86/384.40
  6. Step 6: Final answer
    x = 358.97

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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.