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Finding the Fourth Proportional to 384.93, 530.91 and 253.71

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Solution

The fourth proportional to 384.93, 530.91 and 253.71 is: 349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 530.91 = 253.71 : x
  2. Step 2: Convert to fraction form
    384.93/530.91 = 253.71/x
  3. Step 3: Cross multiply
    384.93x = 530.91 × 253.71
  4. Step 4: Simplify right side
    384.93x = 134,697.18
  5. Step 5: Solve for x
    x = 134,697.18/384.93
  6. Step 6: Final answer
    x = 349.93

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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.