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Finding the Fourth Proportional to 384.93, 530.70 and 318.30

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Solution

The fourth proportional to 384.93, 530.70 and 318.30 is: 438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 530.70 = 318.30 : x
  2. Step 2: Convert to fraction form
    384.93/530.70 = 318.30/x
  3. Step 3: Cross multiply
    384.93x = 530.70 × 318.30
  4. Step 4: Simplify right side
    384.93x = 168,921.81
  5. Step 5: Solve for x
    x = 168,921.81/384.93
  6. Step 6: Final answer
    x = 438.84

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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.